Finite element calculation of energy release rate prior to crack kinking in 2-D solids

International Journal for Numerical Methods in Engineering

Volumn 39, Issue 17, 1996, Pages 3033-3046

  Chang, J H ^a   Pu, L P ^a  

^a NATIONAL CENTRAL UNIVERSITY   (Taiwan)

Author keywords

Anisotropic elastic solids; Jk integrals; Pre linking energy release rate

Indexed keywords

CRACK PROPAGATION; ENERGY DISSIPATION; FRACTURE MECHANICS; INTEGRAL EQUATIONS; SOLIDS;

PREKINKING ENERGY RELEASE RATE;

FINITE ELEMENT METHOD;

EID: 0030242794     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19960915)39:17<3033::AID-NME994>3.0.CO;2-S     Document Type: Article

References (17)

1. J. K. Knowles and E. Sternbeg, 'On a class of conservation laws in linearized and finite elastostatics', Arch. Rat. Mech. Anal., 44, 187-211 (1972).
2. T. K. Hellen and W. S. Blackburn, 'The calculation of stress intensity factors for combined tensile and shear loading', Int. J. Fract., 11, 605-617 (1975).
3. C. H. Wu, 'Fracture under combined loads by maximum-energy-release-rate criterion', J. Appl. Mech. ASME, 45, 553-558 (1978).
4. B. L. Karihaloo, L. M. Keer and S. Nemat-Nasser, 'Crack kinking under nonsymmetric loading', Eng. Fract. Mech., 13, 879-888 (1980).
5. O. Makoto and S. Nemat-Nasser, 'Branched cracks in anisotropic elastic solids', J. Appl. Mech. ASME, 56, 858-864 (1989).
6. J. D. Eshelby, 'The continuum theory of lattice defects', Solid State Physics, Vol. 3, Academic Press, New York, 1956.
7. D. M. Parks, 'A stiffness-derivative finite element technique for determination of elastic crack tip stress intensity factors', Int. J. Fract., 10, 487-502 (1974).
8. T. K. Hellen, 'Virtual crack extension methods for non-linear materials', Int. j. numer. methods eng., 28, 929-942 (1989).
9. J. H. Chang and E. B. Becker, 'Finite element calculations of energy release rate of 2-D rubbery material problems with nonconservative crack surface tractions,' Int. j. numer. methods eng., 33, 907-927 (1992).
10. G. T Sha, 'On the virtual crack extension technique for stress intensity factors and energy release rate calculations for mixed fracture mode', Int. J. Fract., 25, R33-R42 (1984).
11. F. Z. Li, C. F. Shih and A. Needleman, 'A comparison of methods for calculating energy release rate', Eng. Fract. Mech., 21, 405-421 (1985).
12. C. F. Shih, B. Moran and T. Nakamura, 'Energy release rate along a three-dimensional crack front in a thermally stressed body', Int. J. Fract., 30, 79-102 (1986).
13. D. M. Parks, 'Virtual crack extension: a general finite element technique for J-integral evaluation', in Numerical Methods in Fracture Mechanics, A. R. Luxmore and D. R. J. Owen (eds.), University College of Wales, Swansea, 1978, pp. 464-486.
14. I. S. Raju and K. N. Shivakumar, 'An equivalent domain integral method in the two-dimensional analysis of mixed mode crack problems', Eng. Fract. Mech., 37, 707-725 (1990).
15. 2 calculation in anisotropic materials,' Comput. Struct., to appear.
16. H. G. deLoreozi, 'On the energy release rate and J-integral for 3-D crack configurations', Int. J. Fract., 19, 183-193 (1982).
17. C. H. Wu, 'Elasticity problems of slender Z-crack', J. Elast., 8, 185-205 (1976).